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© 2002 by School City of Hobart and EdVISION Corporation.
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School City of Hobart
School City of Hobart Mathematics
Mathematics - IN: Algebra I

Algebraic Concepts

Linear System of Equations: Substitution
The learner will be able to use substitution in obtaining solutions to systems of two linear equations in two variables.
Strand Bloom's Scope Source Activities
Linear Systems of Inequalities   Master IN: Academic Standards, 2000, Algebra I, A1.5.3 Classroom
  
Equations: Comprehend/Logic
The learner will be able to comprehend that the logic of finding the solutions to equations begins with the assumption that the variable is a number that satisfies the equation, and that the process used when solving equations generates new equations that usually have the same solution set as the original, and understand that similar logic applies to obtaining solutions to systems of equations simultaneously.
Strand Bloom's Scope Source Activities
Equations   Master IN: Academic Standards, 2000, Algebra I, A1.9.4 Classroom
  
Linear Equations: Comprehend/Apply
The learner will be able to comprehend and apply multiplication with the addition or subtraction method to obtain solutions to a pair of linear equations in two variables.
Strand Bloom's Scope Source Activities
Linear Equations   Master IN: Academic Standards, 2000, Algebra I, A1.5.5 Classroom
  
Linear Equations: Solve
The learner will be able to comprehend and apply the addition or subtraction method to obtain solutions to a pair of linear equations in two variables.
Strand Bloom's Scope Source Activities
Linear Equations   Master IN: Academic Standards, 2000, Algebra I, A1.5.4 Classroom
  
Linear Equations: Write/Apply
The learner will be able to write the equation of a line that represents a data set and apply the equation or graph of the equation to formulate predictions.
Strand Bloom's Scope Source Activities
Linear Equations   Master IN: Academic Standards, 2000, Algebra I, A1.4.5 Classroom
  
Polynomials: Relationships
The learner will be able to comprehend and explain the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression.
Strand Bloom's Scope Source Activities
Polynomials   Master IN: Academic Standards, 2000, Algebra I, A1.6.8 Classroom
  
Linear Inequalities: Solve
The learner will be able to solve for the solution set of a linear inequality when replacement values are given for the variable.
Strand Bloom's Scope Source Activities
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, A1.2.3 Classroom
  
Linear Inequalities: Graph/Two Variables
The learner will be able to create a graph for a linear inequality in two variables.
Strand Bloom's Scope Source Activities
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, Standard 4, A1.4.6 Classroom
  
Properties: Understand/Associative
The learner will be able to understand the associative property.
Strand Bloom's Scope Source Activities
Properties Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.1.3 Classroom
  
Properties: Understand/Commutative
The learner will be able to understand the commutative property.
Strand Bloom's Scope Source Activities
Properties Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.1.3 Classroom
  
Properties: Comprehend/Distributive
The learner will be able to comprehend the distributive property.
Strand Bloom's Scope Source Activities
Properties Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.1.3 Classroom
  
Properties: Applying
The learner will be able to apply the distributive, associative, and commutative properties.
Strand Bloom's Scope Source Activities
Properties Application Master IN: Academic Standards, 2000, Algebra I, A1.1.3 Classroom
  
Linear Equations: Solve
The learner will be able to obtain solutions to linear equations.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.2.1 Classroom
  
Linear Equations: Graph/Two-Variables
The learner will be able to graph a linear equation in two variables.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 4 Classroom
  
Linear Equations: Write
The learner will be able to write the equation of a line when given suitable information.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.4.4 Classroom
  
Expressions: Compare
The learner will be able to compare expressions.
Strand Bloom's Scope Source Activities
Expressions Analysis Master IN: Academic Standards, 2000, Algebra I, Standard 1 Classroom
  
Expressions: Comparing/Real Numbers
The learner will be able to compare expressions with real numbers.
Strand Bloom's Scope Source Activities
Expressions Analysis Master IN: Academic Standards, 2000, Algebra I, A1.1.1 Classroom
  
Polynomials: Identify/Factors
The learner will be able to identify a common monomial factor in a polynomial.
Strand Bloom's Scope Source Activities
Polynomials Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.6.6 Classroom
  
Polynomials: Add
The learner will be able to add polynomials.
Strand Bloom's Scope Source Activities
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, Standard 6, A1.6.1 Classroom
  
Polynomials: Subtracting
The learner will be able to subtract polynomials.
Strand Bloom's Scope Source Activities
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, Standard 6, A1.6.1 Classroom
  
Monomials: Multiplying
The learner will be able to multiply monomials.
Strand Bloom's Scope Source Activities
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, A1.6.2 Classroom
  
Polynomials: Multiply
The learner will be able to multiply polynomials.
Strand Bloom's Scope Source Activities
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, Standard 6, A1.6.4 Classroom
  
Monomials: Divide
The learner will be able to perform division of monomials.
Strand Bloom's Scope Source Activities
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, A1.6.2 Classroom
  
Polynomials: Divide by Monomial
The learner will be able to divide a polynomial by a monomial.
Strand Bloom's Scope Source Activities
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, A1.6.5 Classroom
  
Polynomials: Divide
The learner will be able to divide polynomials.
Strand Bloom's Scope Source Activities
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, Standard 6 Classroom
  
Monomials: Powers/Roots
The learner will be able to determine powers and roots of monomials, when the answer has an integer exponent.
Strand Bloom's Scope Source Activities
Polynomials Application Master IN: Academic Standards, 2000, Algebra I, A1.6.3 Classroom
  
Radical Expressions: Solve
The learner will be able to obtain solutions to equations that contain radical expressions.
Strand Bloom's Scope Source Activities
Radicals Application Master IN: Academic Standards, 2000, Algebra I, A1.8.8 Classroom
  
Radical: Solve/Equations
The learner will be able to solve radical equations.
Strand Bloom's Scope Source Activities
Radicals Application Master IN: Academic Standards, 2000, Algebra I, Standard 8 Classroom
  
Radical: Graph/Equations
The learner will be able to graph radical equations.
Strand Bloom's Scope Source Activities
Radicals Application Master IN: Academic Standards, 2000, Algebra I, Standard 8, A1.8.1 Classroom
  
Quadratic Equations: Graphing
The learner will be able to graph a quadratic equation on the coordinate plane.
Strand Bloom's Scope Source Activities
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, Standard 8, A1.8.1 Classroom
  
Quadratic Equation: Factoring
The learner will be able to solve quadratic equations by factoring.
Strand Bloom's Scope Source Activities
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.2 Classroom
  
Quadratic Equation: Quadratic Formula
The learner will be able to solve quadratic equations by applying the quadratic formula.
Strand Bloom's Scope Source Activities
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.6 Classroom
  
Quadratic Equations: Solve
The learner will be able to solve a quadratic equation where a perfect square equals a constant.
Strand Bloom's Scope Source Activities
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.3 Classroom
  
Quadratic Equations: Graphing
The learner will be able to apply graphing technology to obtain approximate solutions to quadratic equations.
Strand Bloom's Scope Source Activities
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.9 Classroom
  
Quadratic Equations: Solve
The learner will be able to find solutions to quadratic equations.
Strand Bloom's Scope Source Activities
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, Standard 8 Classroom
  
Quadratic Equations: Completing Square
The learner will be able to solve quadratic equations by completing the square.
Strand Bloom's Scope Source Activities
Quadratic Equations/Formula Application Master IN: Academic Standards, 2000, Algebra I, A1.8.4 Classroom
  
Quadratic Formula: Derive
The learner will be able to derive the quadratic formula through completion of the square.
Strand Bloom's Scope Source Activities
Quadratic Equations/Formula Evaluation Master IN: Academic Standards, 2000, Algebra I, A1.8.5 Classroom
  
Exponents: Apply
The learner will be able to apply rational exponents.
Strand Bloom's Scope Source Activities
Exponents Application Master IN: Academic Standards, 2000, Algebra I, Standard 1 Classroom
  
Exponents: Apply/Law
The learner will be able to apply the law of exponents for rational exponents.
Strand Bloom's Scope Source Activities
Exponents Application Master IN: Academic Standards, 2000, Algebra I, A1.1.4 Classroom
  
Formulas: Solve/Story Problems
The learner will be able to obtain solutions to story problems involving formulas.
Strand Bloom's Scope Source Activities
Formulas Application Master IN: Academic Standards, 2000, Algebra I, Standard 2, A1.2.6 Classroom
  
Formulas: Solve/Variable
The learner will be able to obtain solutions to formulas for a specified variable.
Strand Bloom's Scope Source Activities
Formulas Application Master IN: Academic Standards, 2000, Algebra I, A1.2.2 Classroom
  
Factoring: Quadratic
The learner will be able to factor quadratics.
Strand Bloom's Scope Source Activities
Factoring Application Master IN: Academic Standards, 2000, Algebra I, Standard 6, A1.6.7 Classroom
  
Factoring: Difference of Squares
The learner will be able to factor the difference between two squares.
Strand Bloom's Scope Source Activities
Factoring Application Master IN: Academic Standards, 2000, Algebra I, A1.6.7 Classroom
  
Solve Equations: Specified Variable
The learner will be able to obtain solutions to equations for a specified variable.
Strand Bloom's Scope Source Activities
Solve Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.2.2 Classroom
  
Nonlinear Equations: Graph/Cubic
The learner will be able to graph cubic equations.
Strand Bloom's Scope Source Activities
Nonlinear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 8, A1.8.1 Classroom
  
Nonlinear Equations: Cubic
The learner will be able to apply graphing technology to obtain approximate solutions to cubic equations.
Strand Bloom's Scope Source Activities
Nonlinear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.8.9 Classroom
  
Simplify Expressions
The learner will be able to simplify expressions.
Strand Bloom's Scope Source Activities
Simplify Expressions Application Master IN: Academic Standards, 2000, Algebra I, Standard 1 Classroom
  
Simplify Expressions: Ratios/Algebraic
The learner will be able to simplify ratios with algebraic expressions.
Strand Bloom's Scope Source Activities
Simplify Expressions Application Master IN: Academic Standards, 2000, Algebra I, Standard 7, A1.7.1 Classroom
  
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Function/Relation: Identify
The learner will be able to identify if a relation is a function.
Strand Bloom's Scope Source Activities
Functions/Relations Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.3.3 Classroom
  
Connecting: Functions/Equations
The learner will be able to connect equations with functions.
Strand Bloom's Scope Source Activities
Connecting Analysis Master IN: Academic Standards, 2000, Algebra I, A1.3.3 Classroom
  
Exploring: Study/Graphs
The learner will be able to study functions through the application of graphs.
Strand Bloom's Scope Source Activities
Exploring Analysis Master IN: Academic Standards, 2000, Algebra I, Standard 3 Classroom
  
Relations: Domain/Range
The learner will be able to identify the domain and range for a given relation.
Strand Bloom's Scope Source Activities
Relations Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.3.4 Classroom
  
Relations: Graph/Draw
The learner will be able to draw a graph for a given relationship.
Strand Bloom's Scope Source Activities
Relations Application Master IN: Academic Standards, 2000, Algebra I, A1.3.1 Classroom
  
Functions: Comprehend/Concept
The learner will be able to comprehend the concept of a function.
Strand Bloom's Scope Source Activities
Functions Comprehension Master IN: Academic Standards, 2000, Algebra I, Standard 3, A1.3.3 Classroom
  
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Inductive/Deductive Reasoning: Identify
The learner will be able to identify the difference between inductive and deductive reasoning.
Strand Bloom's Scope Source Activities
Reasoning Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.9.6 Classroom
  
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Mathematics Processes

Reasoning: True/False
The learner will be able to determine if a given algebraic statement is true always, never, or occasionally.
Strand Bloom's Scope Source Activities
Reasoning   Master IN: Academic Standards, 2000, Algebra I, A1.9.5 Classroom
  
Math as Reasoning: Create/Evaluate
The learner will be able to create and evaluate mathematical arguments and proofs.
Strand Bloom's Scope Source Activities
Reasoning   Master IN: Academic Standards, 2000, Algebra I, Standard 9 Classroom
  
Reasoning: Identify Examples
The learner will be able to recognize examples of inductive and deductive reasoning.
Strand Bloom's Scope Source Activities
Reasoning Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.9.6 Classroom
  
Reasoning: Recognize/Hypothesis
The learner will be able to recognize the hypothesis in a logical deduction.
Strand Bloom's Scope Source Activities
Reasoning Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.9.7 Classroom
  
Reasoning: Recognize/Conclusion
The learner will be able to recognize the conclusion in a logical deduction.
Strand Bloom's Scope Source Activities
Reasoning Knowledge Master IN: Academic Standards, 2000, Algebra I, A1.9.7 Classroom
  
Reasoning: Counterexamples
The learner will be able to use counterexamples to illustrate that statements are false, identifying that one counterexample is sufficient to prove that a general statement is false.
Strand Bloom's Scope Source Activities
Reasoning Application Master IN: Academic Standards, 2000, Algebra I, A1.9.8 Classroom
  
Reasoning: Provide Examples
The learner will be able to offer examples of deductive and inductive reasoning.
Strand Bloom's Scope Source Activities
Reasoning Synthesis Master IN: Academic Standards, 2000, Algebra I, A1.9.6 Classroom
  
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Measurement Analysis: Dimensional
The learner will be able to apply dimensional analysis for computations.
Strand Bloom's Scope Source Activities
Measurement: Analysis Application Master IN: Academic Standards, 2000, Algebra I, A1.1.5 Classroom
  
Measurement Analysis: Unit Conversion
The learner will be able to apply dimensional analysis for unit conversion.
Strand Bloom's Scope Source Activities
Measurement: Analysis Synthesis Master IN: Academic Standards, 2000, Algebra I, A1.1.5 Classroom
  
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Proportions: Solve/Algebraic
The learner will be able to obtain solutions to algebraic proportions.
Strand Bloom's Scope Source Activities
Ratio/Proportion Application Master IN: Academic Standards, 2000, Algebra I, Standard 7, A1.7.2 Classroom
  
Square Roots: Simplify/Factors
The learner will be able to use factors to simplify square roots.
Strand Bloom's Scope Source Activities
Roots/Radicals Application Master IN: Academic Standards, 2000, Algebra I, A1.1.2 Classroom
  
Square Roots: Simplify
The learner will be able to simplify square roots.
Strand Bloom's Scope Source Activities
Roots/Radicals Application Master IN: Academic Standards, 2000, Algebra I, Standard 1 Classroom
  
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Probability/Statistics

Graphs: Sketch
The learner will be able to sketch a graph that illustrates a given scenario.
Strand Bloom's Scope Source Activities
Graphing Application Master IN: Academic Standards, 2000, Algebra I, Standard 3 Classroom
  
Graphs: Interpret
The learner will be able to interpret graphs that illustrate a given scenario.
Strand Bloom's Scope Source Activities
Graphing Analysis Master IN: Academic Standards, 2000, Algebra I, Standard 3, A1.3.2 Classroom
  
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Problem Solving

Solutions: Evaluate Reasonableness
The learner will be able to evaluate the reasonableness of a given solution within the context of the original problem.
Strand Bloom's Scope Source Activities
Solution Evaluation Master IN: Academic Standards, 2000, Algebra I, A1.9.2 Classroom
  
Strategies: Use
The learner will be able to use a variety of strategies to solve problems.
Strand Bloom's Scope Source Activities
Strategies Application Master IN: Academic Standards, 2000, Algebra I, Standard 9, A1.9.1 Classroom
  
Word Problems: Applying Techniques
The learner will be able to apply the various methods of solution used on quadratic equations in the context of a word problem.
Strand Bloom's Scope Source Activities
Word Problems Application Master IN: Academic Standards, 2000, Algebra I, A1.8.7 Classroom
  
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Real Numbers and the Coordinate Plane

Real Number Properties: Apply
The learner will be able to apply the properties of the real number system and the order of operations to justify the processes used in simplifying functions and obtaining solutions to equations.
Strand Bloom's Scope Source Activities
Real Number Properties   Master IN: Academic Standards, 2000, Algebra I, A1.9.3 Classroom
  
Slope: Explain
The learner will be able to explain the slope of the line in terms of the data, identifying that the slope is the rate of change.
Strand Bloom's Scope Source Activities
Slope Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.4.5 Classroom
  
Slope: Determine/Y-Intercept
The learner will be able to determine the slope and y-intercept of a line.
Strand Bloom's Scope Source Activities
Slope Application Master IN: Academic Standards, 2000, Algebra I, Standard 4 Classroom
  
Linear Equations: Substitution
The learner will be able to understand the use of substitution in obtaining solutions to systems of two linear equations in two variables.
Strand Bloom's Scope Source Activities
Linear Equations Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.5.3 Classroom
  
Linear Equations: Solve/One Variable
The learner will be able to find the solution to one-variable linear equations.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 2 Classroom
  
Linear Equations: Write
The learner will be able to write the equation of a line.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 4 Classroom
  
Linear Equations: Write/Slope-Intercept
The learner will be able to write the slope-intercept form of an equation of a line.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.4.3 Classroom
  
Linear Equations: Solve/Story Problems
The learner will be able to obtain solutions to story problems involving linear equations.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 2, A1.2.6 Classroom
  
Linear Equations: Problem Solving
The learner will be able to obtain solutions to word problems using pairs of linear equations.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.5.6 Classroom
  
Linear Equations: Approximate/Solution
The learner will be able to approximate the solution of a pair of linear equations in two variables using a graph.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, A1.5.1 Classroom
  
Linear Equations: Solve/Graph
The learner will be able to obtain solutions to pairs of linear equations using graphs.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 5 Classroom
  
Linear Equations: Solve
The learner will be able to obtain solutions to story problems involving pairs of linear equations.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 5 Classroom
  
Linear Equations: Solve/Algebra
The learner will be able to obtain solutions to pairs of linear equations using algebraic methods.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 5 Classroom
  
Linear Equations: Real World Models
The learner will be able to represent real world situations with linear equations.
Strand Bloom's Scope Source Activities
Linear Equations Application Master IN: Academic Standards, 2000, Algebra I, Standard 4 Classroom
  
Linear Inequalities: Solve/One Variable
The learner will be able to find the solutions to one-variable linear inequalities.
Strand Bloom's Scope Source Activities
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, Standard 2 Classroom
  
Linear Inequalities: Solve/Properties
The learner will be able to obtain solutions to linear inequalities applying the properties of order.
Strand Bloom's Scope Source Activities
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, A1.2.4 Classroom
  
Linear Inequalities: Solve/Story Problem
The learner will be able to obtain solutions to story problems involving linear inequalities.
Strand Bloom's Scope Source Activities
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, Standard 2, A1.2.6 Classroom
  
Linear Inequalities: Solve
The learner will be able to obtain solutions to combined linear inequalities.
Strand Bloom's Scope Source Activities
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, A1.2.5 Classroom
  
Linear Inequalities: Solve/Graph
The learner will be able to use graphs to obtain solutions to pairs of linear inequalities.
Strand Bloom's Scope Source Activities
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, Standard 5 Classroom
  
Linear Inequalities: Graph
The learner will be able to determine the solution set of a pair of linear inequalities in two variables using a graph.
Strand Bloom's Scope Source Activities
Linear Inequalities Application Master IN: Academic Standards, 2000, Algebra I, A1.5.2 Classroom
  
Graphing: Comprehend/Slope/Y-intercept
The learner will be able to comprehend how the slope and y-intercept of a graph are associated with the equation.
Strand Bloom's Scope Source Activities
Graphing Comprehension Master IN: Academic Standards, 2000, Algebra I, A1.4.3 Classroom
  
Graphing: Linear Equations
The learner will be able to graph a linear equation.
Strand Bloom's Scope Source Activities
Graphing Application Master IN: Academic Standards, 2000, Algebra I, A1.4.1 Classroom
  
Graphing: Determine/Slope/Intercepts
The learner will be able to determine the slope, x- and y-intercept of a line given its graph, its equation, or two points on a line.
Strand Bloom's Scope Source Activities
Graphing Application Master IN: Academic Standards, 2000, Algebra I, A1.4.2 Classroom
  
Graphing: Apply/Slope/Y-intercept
The learner will be able to apply the slope and y-intercept of a line.
Strand Bloom's Scope Source Activities
Graphing Application Master IN: Academic Standards, 2000, Algebra I, Standard 4 Classroom
  
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